Conditions for Stabilizability of Linear Switched Systems

Trieu Minh, Vu and Awang, Mokhtar and Setyamartana, Parman (2011) Conditions for Stabilizability of Linear Switched Systems. [Citation Index Journal]

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This paper investigates some conditions that can provide stabilizability for linear switched systems with polytopic uncertainties via their closed loop linear quadratic state feedback regulator. The closed loop switched systems can stabilize unstable open loop systems or stable open loop systems but in which there is no solution for a common Lyapunov matrix. For continuous time switched linear systems, we show that if there exists solution in an associated Riccati equation for the closed loop systems sharing one common Lyapunov matrix, the switched linear systems are stable. For the discrete time switched systems, we derive a Linear Matrix Inequality (LMI) to calculate a common Lyapunov matrix and solution for the stable closed loop feedback systems. These closed loop linear quadratic state feedback regulators guarantee the global asymptotical stability for any switched linear systems with any switching signal sequence.

Item Type: Citation Index Journal
Subjects: T Technology > TJ Mechanical engineering and machinery
Depositing User: Dr Mokhtar Awang
Date Deposited: 18 Feb 2011 09:47
Last Modified: 19 Jan 2017 08:23

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